6(u-1)+5u+1=5(u+6)-u

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Solution for 6(u-1)+5u+1=5(u+6)-u equation:


Simplifying
6(u + -1) + 5u + 1 = 5(u + 6) + -1u

Reorder the terms:
6(-1 + u) + 5u + 1 = 5(u + 6) + -1u
(-1 * 6 + u * 6) + 5u + 1 = 5(u + 6) + -1u
(-6 + 6u) + 5u + 1 = 5(u + 6) + -1u

Reorder the terms:
-6 + 1 + 6u + 5u = 5(u + 6) + -1u

Combine like terms: -6 + 1 = -5
-5 + 6u + 5u = 5(u + 6) + -1u

Combine like terms: 6u + 5u = 11u
-5 + 11u = 5(u + 6) + -1u

Reorder the terms:
-5 + 11u = 5(6 + u) + -1u
-5 + 11u = (6 * 5 + u * 5) + -1u
-5 + 11u = (30 + 5u) + -1u

Combine like terms: 5u + -1u = 4u
-5 + 11u = 30 + 4u

Solving
-5 + 11u = 30 + 4u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-4u' to each side of the equation.
-5 + 11u + -4u = 30 + 4u + -4u

Combine like terms: 11u + -4u = 7u
-5 + 7u = 30 + 4u + -4u

Combine like terms: 4u + -4u = 0
-5 + 7u = 30 + 0
-5 + 7u = 30

Add '5' to each side of the equation.
-5 + 5 + 7u = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 7u = 30 + 5
7u = 30 + 5

Combine like terms: 30 + 5 = 35
7u = 35

Divide each side by '7'.
u = 5

Simplifying
u = 5

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